Abstract
We are concerned with non-autonomous radially symmetric systems, with certain strong repulsive singularities near the origin and with some semilinear growth near infinity. By use of topological degree theory, we prove the existence of large-amplitude periodic solutions whose minimal period is an integer multiple of T, and these solutions rotate exactly once around the origin in their period time. The result in this paper shows that both of the antiperiodic and the periodic eigenvalues play the same role.
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Acknowledgements
This work is supported by the National Natural Science Foundation of China (Grant Nos. 11461016 and 11601109), Hainan Natural Science Foundation (Grant No. 117005), China Postdoctoral Science Foundation funded Project (Grant No. 2017M612577), Young Foundation of Hainan University (Grant No. hdkyxj201718).
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Li, S., Luo, H. & Tang, X. Periodic Orbits for Radially Symmetric Systems with Singularities and Semilinear Growth. Results Math 72, 1991–2011 (2017). https://doi.org/10.1007/s00025-017-0749-6
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DOI: https://doi.org/10.1007/s00025-017-0749-6